For which of the following interpretations of the variables and the function symbols and does the equation hold?

Question

For which of the following interpretations of the variables    and the function symbols     and    does the equation    hold?

Answer

... multiplication of natural numbers 
   ... addition of natural numbers

Answer

... finite sets 
   ... union of finite sets 
   ... intersection of finite sets

Answer

... addition of real numbers 
   ... multiplication of real numbers

Answer

...finite strings of letters 
   ... takes two strings    and    and returns the string    obtained by concatenating    and   
    ... takes two strings    and    and returns the shorter one (if both have the same length, it returns the first input   )

Answer

... taking the first input to the power of the second input 
    ... multiplication of natural numbers

Crowdly

For which of the following interpretations of the variables and the function ...

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